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Gekata [30.6K]
3 years ago
15

What is the equation of a line that passes through the point (9, -3) and is parallel to the line whose equation is 2x-3y=6

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

Step-by-step explanation:

2x-3y=6

-3y = -2x + 6

y = -2x/-3 + 6/ -3

y = 2x/3 - 2             {y =mx + c}

slope = 2/3

The required line's slope is also 2/3 as it is parallel to this line

Point(9, -3)

y -y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2x/3 - 2*9/3

y + 3 =2x/3 - 2*3

y  + 3 = 2x/3 -6

y = 2x/3 - 6 - 3

y = 2x/3 - 9

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Answer:

4

Step-by-step explanation:

37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.

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Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so
xeze [42]

Answer:

She can only make 5/6 of her recipe with the amount of milk that she has.

Step-by-step explanation:

Some data of this problem is missing, the data missing is:

Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.

Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:

\frac{5}{8} ÷\frac{3}{4}

When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:

\frac{5}{8}÷\frac{3}{4}=\frac{5}{8}×\frac{4}{3} =\frac{20}{24}

If we simplify this last expression we have:

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Thus, she can only make 5/6 of her recipe with the amount of milk that she has.

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4 years ago
A college has an acceptance rate of 17%. If 3,240 students apply, about
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Answer:

550

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Answer:

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